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Popular >

expand (k+3)^3

Solution

expand

(k + 3)^{3}

Solution

k^{3} + 9 k^{2} + 27 k + 27

Solution steps

(k + 3)^{3}

Apply Perfect Cube Formula:

(a + b)^{3} = a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}

(k + 3)^{3} = k^{3} + 3 k^{2} \cdot 3 + 3 k \cdot 3^{2} + 3^{3}

= k^{3} + 3 k^{2} \cdot 3 + 3 k \cdot 3^{2} + 3^{3}

Simplify

k^{3} + 3 k^{2} \cdot 3 + 3 k \cdot 3^{2} + 3^{3} : k^{3} + 9 k^{2} + 27 k + 27

= k^{3} + 9 k^{2} + 27 k + 27

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Frequently Asked Questions (FAQ)

What is expand (k+3)^3 ?
The solution to expand (k+3)^3 is k^3+9k^2+27k+27